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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

1. Solving Quadratic Equations by Factoring

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Exercise 42 Page 174

Use the Zero Product Property.

x=2/3 and x= - 4

Practice makes perfect

We want to solve the given equation by factoring.

Factoring

Let's get factoring!

- 3x^2-10x+8=0

Write as a sum

- 3x^2-12x+2x+8=0

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Factor out - 3x & 2

Factor out - 3x

- 3x(x+4)+2x+8=0

Factor out - 8

- 3x(x+4)+2(x+4)=0

Factor out (x+4)

(- 3x+2)(x+4)=0

Solving

To solve this equation, we will apply the Zero Product Property.

(- 3x+2)(x+4)=0

Use the Zero Product Property

lc- 3x+2=0 & (I) x+4=0 & (II)

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(I): Solve for x

(I): LHS-2=RHS-2

l- 3x=- 2 x+4=0

(I): .LHS /(- 3).=.RHS /(- 3).

lx= - 2- 3 x+4=0

(I): a/b=.a /(- 1)./.b /(- 1).

lx= 23 x+4=0

(II): LHS-4=RHS-4

lx_1= 23 x_2=- 4

Subchapter links

Exercises p.174-177